2007
(a) Find, correct to one decimal place, the angle between \(p = \begin{pmatrix} 3 \\ -1 \end{pmatrix}\) and \(q = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\).(b) ABCD is a square with vertices at A(0, 0), B(2, 0), C(2, 2) and…
See more
2007 WAEC SSCE Further Mathematics Past Questions
2007
The table shows the marks obtained by some candidates in Physics (y) and Mathematics (x) tests.Mathematics43464839306084540Physics545363304475203349(a)(i) Represent this information on a scatter diagram.(ii) Find \(\bar{…
See more
2007
The table below shows the distribution of ages of workers in a company.Age/ yr17 - 2122 - 2627 - 3132 - 3637 - 4142 - 4647 - 5152 - 56Workers122430374525107(a) Using an assumed mean of 39, calculate the (i) mean (ii) sta…
See more
2007
(a) If \(^{18}C_{r} = ^{18}C_{r + 2}\), find \(^{r}C_{5}\).(b) In a community, 10% of the people tested positive to the HIV virus. If 6 persons from the community are selected at random, one after the other with replacem…
See more
2007
(a) Using the trapezium rule with seven ordinates, evaluate \(\int_{0}^{3} \frac{\mathrm d x}{x^{2} + 1}\), correct to two decimal places.(b) Using matrix method, solve \(-2x + y = 3; - x + 4y = 1\).
See more
2007
(a) Given that \(\begin{vmatrix} 5 & 2 & -3 \\ -1 & k & 6 \\ 3 & 9 & (k + 2) \end{vmatrix} = -207\), find the values of the constant k.(b) The equation of a curve is \(x(y^{2} + 1) - y(x^{2} + 1)…
See more
2007
(a) Solve the equation : \(\sqrt{4x - 3} - \sqrt{2x - 5} = 2\).(b) Find the finite area enclosed by the curve \(y^{2} = 4x\) and the line \(y + x = 0\).
See more
2007
(a) The roots of the equation \(x^{2} + mx + 11 = 0\) are \(\alpha\) and \(\beta\), where m is a constant. If \(\alpha^{2} + \beta^{2} = 27\), find the values of m.(b) The line \(2x + 3y = 1\) intersects the circle \(2x^…
See more
2007
An object is projected vertically upwards. Its height, h m, at time t seconds is given by \(h = 20t - \frac{3}{2}t^{2} - \frac{2}{3}t^{3}\). Find (a) the time at which it is momentarily at rest (b) correct to two decimal…
See more
2007
Forces \(F_{1} = (10 N, 090°), F_{2} = (20 N, 210°)\) and \(F_{3} = (4 N, 330°)\) act on a body at rest on a smooth table. Find, correct to one decimal place, the magnitude of the resultant force.
See more
2007
Four boys participated in a competition in which their respective chances of winning prizes are \(\frac{1}{5}, \frac{1}{4}, \frac{1}{3}\) and \(\frac{1}{2}\). What is the probability that at most two of them win prizes?
See more
2007
Five digit numbers are formed from digits 4, 5, 6, 7 and 8.(a)How many such numbers can be formed if repitition of digits is (i) allowed (ii) not allowed?(b) How many of the numbers are odd, if repetition of digits is no…
See more
2007
(a) Write down the first four terms of the binomial expansion of \((2 - \frac{1}{2})^{5}\) in ascending powers of x.(b) Use your expansion in (a) above to find, correct to two decimal places, the value of \((1.99)^{5}\).…
See more
2007
The normal to the curve \(y = 2x^{2} + x - 3\) at the point (2, 7) meets the x- axis at the point P. Find the coordinates of P.
See more
2007
Solve \(x^{\frac{2}{3}} - 5x^{\frac{1}{3}} + 6 = 0\).
See more
2007
The second term of a geometric progression is 3. If its sum to infinity is \(\frac{25}{2}\), find the value of its common ratio.
See more
2007
Three forces \(F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)\) and \(F_{3} = (4 N, 180°)\) act on a particle. Find the vertical component of the resultant force.
See more
2007
A force of 30 N acts at an angle of 60° on a body of mass 6 kg initially at rest on a smooth horizontal plane. Find the distance covered in 10 seconds.
See more
2007
A group of 5 boys and 4 girls is to be chosen from a class of 8 boys and 6 girls. In how many ways can this be done?
See more
2007
Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.
See more